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Simplifying 4(3z + 1) + -6 = 82 Reorder the terms: 4(1 + 3z) + -6 = 82 (1 * 4 + 3z * 4) + -6 = 82 (4 + 12z) + -6 = 82 Reorder the terms: 4 + -6 + 12z = 82 Combine like terms: 4 + -6 = -2 -2 + 12z = 82 Solving -2 + 12z = 82 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 12z = 82 + 2 Combine like terms: -2 + 2 = 0 0 + 12z = 82 + 2 12z = 82 + 2 Combine like terms: 82 + 2 = 84 12z = 84 Divide each side by '12'. z = 7 Simplifying z = 7
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